113024521002144 has 192 divisors, whose sum is σ = 314133380668800. Its totient is φ = 35521200648192.

The previous prime is 113024521002073. The next prime is 113024521002199. The reversal of 113024521002144 is 441200125420311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506150422 + ... + 506373674.

It is an arithmetic number, because the mean of its divisors is an integer number (1636111357650).

Almost surely, 2^{113024521002144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113024521002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157066690334400).

113024521002144 is an abundant number, since it is smaller than the sum of its proper divisors (201108859666656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113024521002144 is a wasteful number, since it uses less digits than its factorization.

113024521002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227567 (or 227559 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 113024521002144 its reverse (441200125420311), we get a palindrome (554224646422455).

The spelling of 113024521002144 in words is "one hundred thirteen trillion, twenty-four billion, five hundred twenty-one million, two thousand, one hundred forty-four".